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A data set has the following statistical measures.

mean = 10
mode = 4
median = 5
Which of the following is most likely true about the data set?
A. The data is centered about the mean.
B. There is a small outlier
C. There is a large outlier

User Rehana
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2 Answers

3 votes
ANSWER: C. There is a large outlier!
User SASM
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4 votes

Answer: C. There is a large outlier

Explanation:

We know that the mean value of a data set tells the average value of the data values whereas the median value separates the higher half from the lower half of a data set.

  • If mean is equal to median then there is no outlier in the data set .
  • If Mean is less than Median then there is a small outlier in the data set.
  • If Mean is greater than Median then there is a large outlier in the data set.

Here Given : mean = 10

mode = 4

median = 5

Mean > Median

Therefore, there must be a large outlier in the data set.

User Osukaa
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